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Expression of type ExprTuple

from the theory of proveit.logic.sets.subtraction

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import A, B, Conditional, ExprTuple, Lambda, x
from proveit.logic import And, Difference, InSet, NotInSet
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, A, B], Conditional(InSet(x, Difference(A, B)), And(InSet(x, A), NotInSet(x, B)))))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\left(x, A, B\right) \mapsto \left\{x \in \left(A - B\right) \textrm{ if } x \in A ,  x \notin B\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameters: 2
body: 3
2ExprTuple19, 18, 20
3Conditionalvalue: 4
condition: 5
4Operationoperator: 14
operands: 6
5Operationoperator: 7
operands: 8
6ExprTuple19, 9
7Literal
8ExprTuple10, 11
9Operationoperator: 12
operands: 13
10Operationoperator: 14
operands: 15
11Operationoperator: 16
operands: 17
12Literal
13ExprTuple18, 20
14Literal
15ExprTuple19, 18
16Literal
17ExprTuple19, 20
18Variable
19Variable
20Variable